# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 2)
2.
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
2 : 5
3 : 5
4 : 5
6 : 7
Explanation:

Let the third number be x.

 Then, first number = 120% of x = 120x = 6x 100 5

 Second number = 150% of x = 150x = 3x 100 2

 Ratio of first two numbers = 6x : 3x = 12x : 15x = 4 : 5. 5 2

Discussion:
122 comments Page 1 of 13.

Bagavathsingh said:   2 weeks ago
Third number = x
First number = 20x/100
Second number = 50x/100
Assuming x = 10.

Put the value'
= (20*10/100) + 10 = 12,
= (50*10/100) + 10 = 15,
= 12:15.
= 4:5.
(2)

Lokesh said:   2 weeks ago
@Sujaathasree.

If the percentage increases or mentioned directly we can take it as 100+20% since the percentage increases directly to 100 and if loss or decrease by 20% then we should do 100-20%.
(3)

Divith said:   2 weeks ago
Nice, thanks everyone for explanation.
(1)

Sujathaasree said:   2 months ago
How come 120 and 150 came? Please explain to me.
(13)

Ktricia said:   6 months ago
(16)

Vss said:   11 months ago
How 120 and 150? Please explain me.
(79)

Wasiu mujeeb said:   11 months ago
It is very helpful. Thanks all for the explanation.
(13)

Saloni said:   1 year ago
Let c 100.

A = 120.
B = 150.
So the ratio of A to B.
120/150.
4 : 5.
(136)

Anomi said:   1 year ago
Why do we need to use 100 to multiply? Please explain to me.
(24)

Biswajit Paul said:   1 year ago
20% -----> 4*5=20%
50% ------> 5*10=50%

Ratio is ---- (c) 4 : 5.

So, Option (C) is the Right answer.
(31)